Least Common Multiple (LCM) of 57 and 143
The least common multiple (LCM) of 57 and 143 is 8151.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 57 and 143?
First, calculate the GCD of 57 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 143 = 0 remainder 57 |
| 2 | 143 ÷ 57 = 2 remainder 29 |
| 3 | 57 ÷ 29 = 1 remainder 28 |
| 4 | 29 ÷ 28 = 1 remainder 1 |
| 5 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 175 | 18025 |
| 21 and 142 | 2982 |
| 24 and 146 | 1752 |
| 156 and 189 | 9828 |
| 161 and 151 | 24311 |